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Finding the Fourth Proportional to 16,539.78, 24,809.76 and 4,853.64

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Solution

The fourth proportional to 16,539.78, 24,809.76 and 4,853.64 is: 7,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,539.78 : 24,809.76 = 4,853.64 : x
  2. Step 2: Convert to fraction form
    16,539.78/24,809.76 = 4,853.64/x
  3. Step 3: Cross multiply
    16,539.78x = 24,809.76 × 4,853.64
  4. Step 4: Simplify right side
    16,539.78x = 120,417,643.53
  5. Step 5: Solve for x
    x = 120,417,643.53/16,539.78
  6. Step 6: Final answer
    x = 7,280.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.